Page 27 - E booklet prep 3 bader 2025 b_Neat
P. 27

Fourth case:

If  ??  =  ??  =  ??  =  ? and    ???? , ???? , ???? ? ??*   then
    ??     ??     ??

?   ??+??+??   =  one    of  the  ratio      ?  ?? ????+?? ????+?? ????  =  one  of  the  ratio
    ??+??+??                                    ?? ????+?? ????+?? ????

Example:

If  ??+??  =   ??+??  =  ??+??                  ??-??     =  ??+??+??
     ??         ??                               ??             ??
                          ?? , then prove that

1- first subtract second term from first term

??+??-??-??    =  ??-??
   ??-??           ??

2-Add first and second and third term

??+??+??+??+??+??        =   ????+????+????  =??+????+??
     ??+??+??                     ????

        From      1   ,  2   then  ??-??     =  ??+??+??
                                    ??             ??

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